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1060205952 = 27313217312
BaseRepresentation
bin111111001100010…
…111010110000000
32201212222001011010
4333030113112000
54132403042302
6253111520520
735162413311
oct7714272600
92655861133
101060205952
114a4505473
12257089140
1313b859b00
14a0b40608
156312516c
hex3f317580

1060205952 has 288 divisors, whose sum is σ = 3336360840. Its totient is φ = 297123840.

The previous prime is 1060205933. The next prime is 1060205981. The reversal of 1060205952 is 2595020601.

It is a happy number.

1060205952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10602059522 = 2248073321312452608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34200177 + ... + 34200207.

Almost surely, 21060205952 is an apocalyptic number.

1060205952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668180420).

1060205952 is an abundant number, since it is smaller than the sum of its proper divisors (2276154888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1060205952 is a wasteful number, since it uses less digits than its factorization.

1060205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1060205952 is about 32560.8039212793. The cubic root of 1060205952 is about 1019.6788531459.

The spelling of 1060205952 in words is "one billion, sixty million, two hundred five thousand, nine hundred fifty-two".